Answer:
82.67% of the fertilizer will be used on the property.
Step-by-step explanation:
Area of Plane Figures
The backyard described in the problem has two parts: One with a rectangular shape of 30 feet by 20 feet. The other with a triangular shape with a base of 24 feet and a height of 12 feet.
The area of a rectangle is calculated by:
[tex]A_r=L*W[/tex]
And the area of a triangle is:
[tex]\displaystyle A_t=\frac{B*H}{2}[/tex]
All the backyard will be covered by fertilizer coming from a container with a capacity of 900 square feet.
The total area of the backyard is the sum of the area of the rectangle Ar and the area of the triangle At as follows:
[tex]A_r=30*20=600\ ft^2[/tex]
[tex]\displaystyle A_t=\frac{24*12}{2}=144\ ft^2[/tex]
The total area of the backyard is:
[tex]A=600\ ft^2+144\ ft^2=744\ ft^2[/tex]
To find the percentage of the container, we calculate:
[tex]\displaystyle \frac{744}{900}*100\%=82.67\%[/tex]
82.67% of the fertilizer will be used on the property.
